Question : Directions: If 18 September 1998 is Friday, then what will be the day of the week on 15 September 2009?
Option 1: Wednesday
Option 2: Monday
Option 3: Tuesday
Option 4: Sunday
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Correct Answer: Tuesday
Solution :
Given:
18 September 1998 is a Friday.
Let's calculate the total number of days from the 18th of September 1998 to the 15th of September 2009 –
Number of remaining days in 1998 = 12 + 31 + 30 + 31 = 104
Number of days from 1 January 1999 to 31 December 2008 = (10 × 365) + 3 = 3653 (3 leap years)
Number of days from 1 January 2009 to 15 September 2009 = 31 + 28 + 31 + 30 + 31 + 30 + 31 + 31 + 15 = 258
So, the total number of days from 18 September 1998 to 15 September 2009 = 104 + 3653 + 258 = 4015
Now, on dividing 4015 by 7, we get 573 as the quotient and 4 as the remainder.
Therefore, add 4 to Friday, Friday + 4 = Tuesday
So, the 15th of September 2009 will be Tuesday. Hence, the third option is correct.
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